The number of digits contained in the decimal part of a given decimal number gives the number of decimal places.
Examples:
1. The number 5.76 has 2 decimal places.
2. The number 0.315 has 3 decimal places.
3. The number 86.261 has 3 decimal places.
4. The number 912.67 has 2 decimal places.
To understand about the explanation of a decimal numbers we must first know about the Place Value.
For example; let us take a decimal number 42.37
• The number is read as forty two and thirty seven hundredths or forty two point three seven.
• In the decimal number the whole number part is 42 and the decimal part is 0.37.
• In the whole number part 42
The place of 2 is ones or unit and its place value is 2 × 1 = 2.
The place of 4 is tens and its place value is 4 × 10 = 40.
• In the decimal part 0.37
The place of 3 is tenths and its place value is 3 × 1/10 = 3/10 = 0.3.
The place of 7 is hundredths and its place value is 7 × 1/100 = 7/100 = 0.07.
We can also write the number in the expanded form as 42.37 = 40 + 2 + 0.3 + 0.07
= 4 10 + 2 1 + 3/10 + 7/100
= 4 × 10 + 2 × 1 + 3/10 + 7/100 = 4 × 10^{1} + 2 × 10^{0} + 3 × 10^{1} + 7 × 10^{2}
Note:
The expansion form of a decimal number is shown in three ways; we can do it in either of the ways.
● Related Concept
● Decimals
● Conversion of Unlike Decimals to Like Decimals
● Decimal and Fractional Expansion
● Converting Decimals to Fractions
● Converting Fractions to Decimals
● H.C.F. and L.C.M. of Decimals
● Repeating or Recurring Decimal
● BODMAS/PEMDAS Rules  Involving Decimals
● PEMDAS Rules  Involving Integers
● PEMDAS Rules  Involving Decimals
● BODMAS Rules  Involving Integers
● Conversion of Pure Recurring Decimal into Vulgar Fraction
● Conversion of Mixed Recurring Decimals into Vulgar Fractions
● Rounding Decimals to the Nearest Whole Number
● Rounding Decimals to the Nearest Tenths
● Rounding Decimals to the Nearest Hundredths
● Simplify Decimals Involving Addition and Subtraction Decimals
● Multiplying Decimal by a Decimal Number
● Multiplying Decimal by a Whole Number
● Dividing Decimal by a Whole Number
● Dividing Decimal by a Decimal Number
7th Grade Math Problems
From Decimal Places to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
